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Finding the Fourth Proportional to 86,803.13, 130,203.77 and 65,871.75

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Solution

The fourth proportional to 86,803.13, 130,203.77 and 65,871.75 is: 98,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,803.13 : 130,203.77 = 65,871.75 : x
  2. Step 2: Convert to fraction form
    86,803.13/130,203.77 = 65,871.75/x
  3. Step 3: Cross multiply
    86,803.13x = 130,203.77 × 65,871.75
  4. Step 4: Simplify right side
    86,803.13x = 8,576,750,186.50
  5. Step 5: Solve for x
    x = 8,576,750,186.50/86,803.13
  6. Step 6: Final answer
    x = 98,806.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.